If any problem involving circular motion, which way does the acceleration vector point ?
1 answer:
Answer:
The acceleration vector always points towards the centre of the motion. This is referred to as centripetal acceleration. It accounts for the centripetal force that tends to pull the object in circular motion towards the centre of motion.
Consider the diagram below;
it illustrates a body in circular motion along the black circle, with the acceleration vector a shown by the orange arrow pointing towards the centre of motion and the velocity vector v shown by the green arrow pointing tangentially away from the circumference.
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Answer:
The angular velocity is
Explanation:
From the question we are told that
The mass of each astronauts is
The initial distance between the two astronauts
Generally the radius is mathematically represented as
The initial angular velocity is
The distance between the two astronauts after the rope is pulled is
Generally the radius is mathematically represented as
Generally from the law of angular momentum conservation we have that
Here is the initial moment of inertia of the first astronauts which is equal to
the initial moment of inertia of the second astronauts So
Also is the initial angular velocity of the first astronauts which is equal to
the initial angular velocity of the second astronauts So
Here is the final moment of inertia of the first astronauts which is equal to
the final moment of inertia of the second astronauts So
Also is the final angular velocity of the first astronauts which is equal to
the final angular velocity of the second astronauts So
So
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